Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Shan Minjie"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 137-151 (2024)
In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain
Externí odkaz:
https://doaj.org/article/3ea388b3e0804e7e9f2d8e88e0bfab03
Autor:
Shan, Minjie
In this paper, we discuss pointwise decay estimate for the solution to the mass-critical generalized Korteweg-de Vries (gKdV) equation with initial data $u_0\in H^{1/2}(\mathbb{R})$. It is showed that nonlinear solution enjoys the same decay rate as
Externí odkaz:
http://arxiv.org/abs/2409.05550
Autor:
Shan, Minjie
Some special properties of smoothness and singularity concerning to the initial value problem associated with higher-order generalized KdV equations are investigated. On one hand, we show the propagation of regularity phenomena. More precisely, the r
Externí odkaz:
http://arxiv.org/abs/2408.14741
Autor:
Ban, Yingzhe, Shan, Minjie
We illustrate the dispersive blow up phenomena of the solutions of three dimensional generalized Zakharov-Kuznetsov equations. In particular, we construct smooth initial data such that, the associated global solutions fail to be $C^{1}$ at time $t$ i
Externí odkaz:
http://arxiv.org/abs/2408.14737
Autor:
Wei, Aosong, Dai, Li, Tao, Pengcheng, Deng, Zhuofan, Xu, Dingliang, Shan, Minjie, Liu, Junjie, Li, Jianping, Chen, Jianqi, Wang, Hualin
Publikováno v:
In Journal of Cleaner Production 15 April 2024 450
Autor:
Zhang, Tong, Li, Jianping, Yang, Danhui, Shan, Minjie, Zhao, Wei, Wei, Aosong, Liu, Jiayuan, Wang, Hualin
Publikováno v:
In Journal of Water Process Engineering March 2024 59
The Cauchy problem for Zakharov-Kuznetsov equation on $\mathbb{R}^2$ is shown to be global well-posed for the initial date in $H^{s}$ provided $s>-\frac{1}{13}$. As conservation laws are invalid in Sobolev spaces below $L^2$, we construct an almost c
Externí odkaz:
http://arxiv.org/abs/2003.07515
Autor:
Dai, Li, Xu, Dingliang, Wei, Aosong, Shan, Minjie, Tao, Pengcheng, Deng, Zhuofan, Li, Jianping, Chen, Jianqi, Wang, Hualin
Publikováno v:
In Process Safety and Environmental Protection December 2023 180:981-991
Publikováno v:
In Journal of Differential Equations 15 May 2023 355:386-436